Rational homotopy  Sullivan models
Abstract
This chapter is a short introduction to Sullivan models. In particular, we find the Sullivan model of a free loop space and use it to prove the ViguéPoirrierSullivan theorem on the Betti numbers of a free loop space.
 Publication:

arXiv eprints
 Pub Date:
 August 2013
 DOI:
 10.48550/arXiv.1308.6685
 arXiv:
 arXiv:1308.6685
 Bibcode:
 2013arXiv1308.6685M
 Keywords:

 Mathematics  Algebraic Topology
 EPrint:
 27 pages. A chapter in the book "Free loop space in geometry and Topology" to appear in IRMA Lect. Math. Theor. Phys., EMS Publishing House